#LinearAlgebra

You know what's really cool? Visualizing what's happening geometrically as we do row reduction operations on a linear system of equations! #math #linearalgebra #rowreduction youtube.com/shorts/wTYfM...

Each point represents one eigenvalue from the spectrum of a random 5×5 matrix with entries from {-1,0,1}. Warmer colors show regions where eigenvalues cluster more densely. #MathArt #LinearAlgebra #CreativeCoding #Mathematics #VisualMath #ComplexAnalysis #math

"We share a philosophy about linear algebra: we think basis-free, we write basis-free, but when the chips are down we close the office door and compute with matrices like fury." -Irving Kaplansky, writing of himself and Paul Halmos #MathSky #LinearAlgebra

According to my partner, our summer plans are going to consist of him helping me work through this book. He's very excited that I found some math stuff I like, can you tell? 🤣 #Math #LinearAlgebra

When two photos become one… Not Photoshop—linear algebra! A linear combination of two image matrices creates something entirely new. #MathArt #LinearAlgebra

Sheldon Axler just announced publication of the 4th edition of Linear Algebra Done Right, another great Open Access book. The electronic version is legally free to the world at linear.axler.net. #linearalgebra #EduSky #MathSky

M*R local-space vs. R*M world-space - I'm breaking down #matrix composition for rotating objects around external/local origins, using active and passive transformation. thorsten.suckow-homberg.de/docs/article... #gamedev #computergraphics #linearalgebra #indiedev #indiegame #3dgraphics #math

Ending up cleanly with the projection vector [-2/3, -4/3, 4/3] without touching inverse cosine once is proof you do not need messy trig. All it takes is the direct algebraic projection formula: dot the matching components of… #linearalgebra #vectors #studytips #funny #animation #tomfamily #SoviAI

That instinct to calculate theta with inverse cosine the second you see a projection problem will cost you precious minutes. Skipping theta entirely and taking the dot product (14 + 2 + 2 = 18) over the squared… #linearalgebra #vectorprojection #vectors #funny #animation #tomfamily #SoviAI

Seeing that theta symbol usually brings trigonometry dread, but bypassing the angle entirely to jump straight into the dot product feels like an instant win. Multiplying your matching components gives 4(2) + (-1)(2) + 3(-1) =… #linearalgebra #vectors #studytips #funny #animation #tomfamily #SoviAI

Most students expect to spend half a notebook page grinding out row reduction on matrix [[4, 7], [2, 5]], but this quick rule flips the entire problem in three steps. Instead of an augmented nightmare, you calculate the… #linearalgebra #matrixmath #studytips #funny #animation #tomfamily #SoviAI

Instead of messing with inverse cosines to find theta, you can project vector u = [4, 6, -2] directly onto v = [2, 1, -2] in three clean steps. First, compute the dot product across matching entries: 4(2) + 6(1) + (-2)(-2)… #linearalgebra #vectors #studytips #funny #animation #tomfamily #SoviAI